Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1892729 | Journal of Geometry and Physics | 2015 | 7 Pages |
Abstract
The Killing form induces a 2-plectic structure on a compact semisimple Lie group. The associated Lie group of canonical transformations (2-plectomorphisms) is compact. This 2-plectic structure induces a Cartan connection on the Lie group. The curvature and torsion tensor of this connection have been calculated for the special unitary Lie group SU(3). It is shown that the homogeneous spaces SU(3)SU(2), SU(3)S1 and SU(3)T2 also, admit 2-plectic structures, which are induced by closed left invariant 3-forms on SU(3), whereas SU(3)U(2) and SU(3)SO(3) do not admit such 2-plectic structures.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Mohammad Shafiee,